The following table shows the total number of employees in 4 different colleges and the percentage of female employees and that of male employees. Study the table carefully and answer the question that follows. 

College Total Number of Employees Percentage of Female Employees Percentage of Male Employees
A 700 35% 65%
B 550 30% 70%
C 600 40% 60%
D 800 55% 45%

The number of females in colleges A and D together is what percentage of the number of males in colleges B and C together (rounded off to two decimal places)? 

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  1. 80.84%
  2. 80.95%
  3. 91.95%
  4. 90.86%

Answer (Detailed Solution Below)

Option 3 : 91.95%
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Detailed Solution

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Given:

A table showing the total number of employees in 4 different colleges and the percentage of female employees and that of male employees.

Formula used: 

A% of B = A / 100 × B 

A is what percent of B = A / B × 100.

Calculation:

Number of females in colleges A and D = 35% of 700 + 55% of 800

⇒ 35 / 100 × 700 + 55 / 100 × 800

⇒ 245 + 440

⇒ 685

Number of males in colleges B and C = 70% of 550 + 60% of 600

⇒ 70 / 100 × 550 + 60 / 100 × 600

⇒ 385 + 360

⇒ 745

Number of females in colleges A and D is what percent of Number of males in colleges B and C = 685 / 745 × 100 

≈ 91.95%

∴ The correct answer is 91.95%.

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